Council Aboriginal development officer Ross Evans says Wollondilly Shire will follow up the event with a meeting of its Aboriginal advisory committee this evening to discuss how to take the apology forward.

"Should we look into doing more work to celebrate this or put this on the calendar for next year's events or development," he said.

Councils including Kiama and Wollongong have already apologised to Indigenous Australians on behalf of their communities, adopting statements of reconciliation in 2001.

The federal Member for Gilmore, Joanna Gash, says she supports an apology, but will be addressing Parliament tomorrow to outline some of her personal positions on the topic.

Prime Minister Kevin Rudd and the Leader of the Opposition, Dr Brendan Nelson, were the only two speakers in Parliament for today's national apology.

Ms Gash says she agrees that an apology should be made, but would like the right to speak.

"I believe there is some time set aside for the following day which I'll be making use of," she said.

"I've already put my name on the list to do so and I'll forward that speech to my constituents in the electorate. I understand the apology and I agree with the apology, but I want to put some personal issues into it as well."

And the federal Member for Throsby, Jennie George, says she will also address Parliament on the subject of the apology.

Ms George says as a former member of the Council for Aboriginal Reconciliation she will draw on past experiences in her speech.

"I will reflect on a number of matters we discussed at the Council for Aboriginal Reconciliation, matters that still go to unfinished business and of course the very important practical measures that Labor has committed to, particularly in terms of reducing the [life expectancy] age gap between Indigenous and non-Indigenous Australians," she said.